Geometry

Look at the figure below. Which of the following best describes the geometric shape $XY$ shown in the diagram?

In the given diagram, which letter represents a point?

Which of these can be measured using a ruler?

What is the endpoint of ray $AB$ as shown in the diagram?

What is the intersection of the two line segments in the figure?

How many lines can be drawn passing through two distinct points $A$ and $B$?

Which of these correctly names the horizontal line passing through points $M$ and $N$?

Three line segments $AB, BC,$ and $CD$ are joined end-to-end to form a single longer line segment $AD$. If $AB = 4$ cm, $BC = 5$ cm, and $AD = 12$ cm, what is the length of segment $CD$?

How many endpoints do a line, a ray, and a line segment have respectively?

A sunbeam is often used as a real-world example of a ray. If the Sun is point $S$ and the beam passes through a hole in a cloud at point $C$, which notation correctly names this ray?

Which of these is the measure of a reflex angle?

The point where two rays meet to form an angle is called the:

An angle smaller than a right angle is called:

How many right angles make up a straight angle?

What is the angle between the directions West and South?

Find the sum of an angle of $145^{\circ}$ and an angle of $45^{\circ}$. What type of angle does the sum form?

If you turn clockwise from North to South-East, what is the angle of turn?

A paper is folded to form a shape. If three angles at a point on a straight line are $x$, $2x+10$, and $x-30$, find the value of $x$.

Find the angle between the hands of a clock when the time is 6:30. (Hint: The hour hand moves as the minute hand moves).

Two supplementary angles are in the ratio $2:3$. Find the measure of both angles.

Identify the triangle based on the given side lengths: $5\text{ cm}$, $5\text{ cm}$, $8\text{ cm}$.

A triangle has angles $30^\circ$, $60^\circ$, and $90^\circ$. How is it classified by its angles?

What is the sum of all internal angles of any triangle?

In an isosceles triangle, if the non-equal side is called the base, the angles opposite to the equal sides are called:

In the given triangle $ABC$, the measure of $\angle B$ is $90^\circ$ and the side lengths are $AB = 3$ cm, $BC = 4$ cm, and $AC = 5$ cm. Based on its angles and side lengths, how is this triangle classified?

If a triangle has side lengths in the ratio $3:4:5$, what type of triangle is it known to be?

In the figure, if $AB = BC$ and $\angle B = 80^\circ$, find the measure of $\angle A$.

A math puzzle asks: 'I am a triangle. Two of my angles are $45^{\circ}$ and $45^{\circ}$. I have a perimeter of $20\text{ cm}$. What kind of triangle am I?'

A carpenter cuts a wooden board into a triangle with side lengths $7\text{ cm}$, $24\text{ cm}$, and $25\text{ cm}$. He notices that $7^2 + 24^2 = 25^2$. How should he classify the triangle?

A signal flag is in the shape of a triangle. The interior angles of the flag are $(2x)^{\circ}$, $(3x)^{\circ}$, and $(4x)^{\circ}$. What is the classification of this triangle by its angles?

In the given circle with center $O$, the line segment $AB$ passes through the center and connects two points on the circle. What is the line segment $AB$ called?

A line segment $EF$ connects two points on the circle but does not pass through the center. What is $EF$ called?

If the radius of a circle is $12$ cm, what is the length of its diameter?

What is the name of the part of the circumference between points $A$ and $B$?

Look at the figure. If $O$ is the center and $OA$, $OB$, and $OC$ are radii, which of the following statements is true?

If a circle has a diameter of $20$ cm, what is the distance from the center to any point on its boundary?

What is the name of a line that touches the circle at exactly one point?

A circle is divided into two parts by a line segment that passes through the center. Each of these two equal parts (including the boundary and the diameter) is called a:

If a chord of a circle is moved closer and closer to the center while remaining parallel to its original position, what happens to its length?

A pizza is cut into $8$ equal slices, where each cut starts from the center and goes to the edge. Each slice is an example of which geometric part of a circle?

A rectangle is shown in the diagram. How many lines of symmetry does a standard rectangle have?

In the figure below, which line segment is the mirror image of $PQ$ across the vertical dashed line?

Observe the pattern of dots. How many dots will be in the 4th figure?

What is the order of rotational symmetry for the equilateral triangle shown?

If a pattern follows the rule $n^2 + 1$, what is the 5th term?

Which transformation is shown where a shape moves from position A to position B without turning?

What is the result of reflecting the word 'MOM' across a horizontal mirror line?

A tile is in the shape of a rhombus (not a square) with an interior angle of $60^\circ$. How many lines of symmetry does this tile have, and what is its order of rotational symmetry?

In a number pattern $5, 11, 23, 47, ...$, each term is found by doubling the previous term and adding 1. What is the $6^{th}$ term of this sequence?

Consider a clock face. At which of the following times do the hands of the clock (hour and minute) form a configuration that is NOT symmetric about the vertical line passing through 12 and 6?